Turbine engine having acoustically tuned fuel nozzle

ABSTRACT

A fuel nozzle for a turbine engine having a combustion chamber is disclosed. The fuel nozzle has a common axis, a body member, and a barrel member. The fuel nozzle also has a mixing duct and an air inlet duct, each with predetermined lengths. The fuel nozzle additionally has a main fuel injection device located between the air inlet duct and the mixing duct. The main fuel injection device is configured to introduce a flow of fuel into the barrel member at a predetermine axial fuel introduction location. The predetermined axial fuel introduction location and the predetermined length of at least one of the mixing duct and the air inlet duct are such that a time-varying fuel to air equivalence ratio at a flame front downstream of an exit of the mixing duct is less than a time-averaged fuel to air equivalence ratio when a naturally-occurring time-varying pressure at the flame front is at a maximum.

TECHNICAL FIELD

The present disclosure relates generally to a turbine engine, and more particularly, to a turbine engine having an acoustically tuned fuel nozzle.

BACKGROUND

Internal combustion engines, including diesel engines, gaseous-fueled engines, and other engines known in the art, may exhaust a complex mixture of air pollutants. These air pollutants may be composed of gaseous compounds, which may include nitrous oxides (NOx). Due to increased attention on the environment, exhaust emission standards have become more stringent and the amount of NOx emitted to the atmosphere from an engine may be regulated depending on the type of engine, size of engine, and/or class of engine.

It has been established that a well-distributed flame having a low flame temperature can reduce NOx production to levels compliant with current emission regulations. One way to generate a well-distributed flame with a low flame temperature is to premix fuel and air to a predetermined lean fuel to air equivalence ratio. However, naturally-occurring pressure fluctuations within the turbine engine can be amplified during operation of the engine under these lean conditions. In fact, the amplification can be so severe that damage and/or failure of the turbine engine can occur.

One method that has been implemented by turbine engine manufacturers to provide lean fuel/air operational conditions within a turbine engine while minimizing the harmful vibrations generally associated with lean operation is described in U.S. Pat. No. 6,698,206 (the '206 patent) issued to Scarinci et al. on Mar. 2, 2004. The '206 patent describes a turbine engine having a primary combustion zone, a secondary combustion zone, and a tertiary combustion zone. Each of the combustion zones is supplied with premixed fuel and air by respective mixing ducts and a plurality of axially spaced-apart air injection apertures. These apertures reduce the magnitude of fluctuations in the lean fuel to air equivalence ratio of the fuel and air mixtures supplied into the mixing zones, thereby reducing the harmful vibrations.

Although the method described in the '206 patent may reduce some harmful vibrations associated with a low NOx-emitting turbine engine, it may be expensive and insufficient. In particular, the many apertures associated with each of the combustion zones described in the '206 patent may drive up the cost of the turbine engine. In addition, because the reduction of vibration within the turbine engine of the '206 patent does not rely upon strategic placement of the apertures according to acoustic tuning specific to the particular turbine engine, the reduction of vibration may be limited and, in some situations, insufficient.

The disclosed fuel nozzle is directed to overcoming one or more of the problems set forth above.

SUMMARY OF THE INVENTION

In one aspect, the present disclosure is directed to a fuel nozzle for a turbine engine having a combustion chamber. The fuel nozzle includes a common axis, a body member disposed about the common axis, and a barrel member located radially outward from the body member. The fuel nozzle also includes a mixing duct fluidly communicating the barrel member and the combustion chamber, and an air inlet duct disposed upstream of the barrel member. The air inlet duct is configured to introduce a flow of air into the barrel member. Each of the air inlet duct and mixing duct have predetermined lengths. The fuel nozzle further includes a main fuel injection device located between the air inlet duct and the mixing duct. The main fuel injection device is configured to introduce a flow of fuel into the barrel member at a predetermined axial fuel introduction location. The predetermined axial fuel introduction location and the predetermined length of at least one of the mixing duct and the air inlet duct are such that a time-varying fuel to air equivalence ratio at a flame front downstream of the mixing duct is less than a time-averaged fuel to air equivalence ratio when a naturally-occurring time-varying pressure at the flame front is at a maximum.

In another aspect, the present disclosure is directed to a method of operating a turbine engine. The method includes directing compressed air into the turbine engine via an inlet duct having a predetermined length. The method also includes introducing fuel into the turbine engine at a predetermined axial position downstream of the inlet duct, and mixing the fuel and air within a mixing duct having a predetermined length. The method further includes directing the fuel and air mixture to a combustion chamber. The predetermined axial fuel introduction location and the predetermined length of at least one of the mixing duct and the inlet duct are such that a time-varying fuel to air equivalence ratio at a flame front downstream of an exit of the mixing duct is less than a time-averaged fuel to air equivalence ratio when a naturally-occurring time-varying pressure at the flame front is at a maximum.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a cutaway-view illustration of an exemplary disclosed turbine engine;

FIG. 2 is a cross-sectional illustration of an exemplary disclosed fuel nozzle for the turbine engine of FIG. 1; and

FIG. 3 is a pictorial representation of an exemplary disclosed operation of the fuel nozzle of FIG. 2.

DETAILED DESCRIPTION

FIG. 1 illustrates an exemplary turbine engine 10. Turbine engine 10 may be associated with a stationary or mobile work machine configured to accomplish a predetermined task. For example, turbine engine 10 may embody the primary power source of a generator set that produces an electrical power output or of a pumping mechanism that performs a fluid pumping operation. Turbine engine 10 may alternatively embody the prime mover of an earth-moving machine, a passenger vehicle, a marine vessel, or any other mobile machine known in the art. Turbine engine 10 may include a compressor section 12, a combustor section 14, a turbine section 16, and an exhaust section 18.

Compressor section 12 may include components rotatable to compress inlet air. Specifically, compressor section 1 2 may include a series of rotatable compressor blades 22 fixedly connected about a central shaft 24. As central shaft 24 is rotated, compressor blades 22 may draw air into turbine engine 10 and pressurize the air. This pressurized air may then be directed toward combustor section 14 for mixture with a liquid and/or gaseous fuel. It is contemplated that compressor section 12 may further include compressor blades (not shown) that are separate from central shaft 24 and remain stationary during operation of turbine engine 10.

Combustor section 14 may mix fuel with the compressed air from compressor section 12 and combust the mixture to create a mechanical work output. Specifically, combustor section 14 may include a plurality of fuel nozzles 26 annularly arranged about central shaft 24, and an annular combustion chamber 28 associated with fuel nozzles 26. Each fuel nozzle 26 may inject one or both of liquid and gaseous fuel into the flow of compressed air from compressor section 12 for ignition within combustion chamber 28. As the fuel/air mixture combusts, the heated molecules may expand and move at high speed into turbine section 16.

As illustrated in the cross-section of FIG. 2, each fuel nozzle 26 may include components that cooperate to inject gaseous and liquid fuel into combustion chamber 28. Specifically, each fuel nozzle 26 may include a barrel housing 34 connected on one end to an air inlet duct 35 for receiving compressed air, and on the opposing end to a mixing duct 37 for communication of the fuel/air mixture with combustion chamber 28. Fuel nozzle 26 may also include a central body 36, a pilot fuel injector 38, and a swirler 40. Central body 36 may be disposed radially inward of barrel housing 34 and aligned along a common axis 42. Pilot fuel injector 38 may be located within central body 36 and configured to inject a pilot stream of pressurized fuel through a tip end 44 of central body 36 into combustion chamber 28 to facilitate engine starting, idling, cold operation, and/or lean burn operations of turbine engine 10. Swirler 40 may be annularly disposed between barrel housing 34 and central body 36.

Barrel housing 34 may embody a tubular member having a plurality of air jets 46. Air jets 46 may be co-aligned at a predetermined axial position along the length of barrel housing 34. This predetermined axial position may be set during manufacture of turbine engine 10 to attenuate a time-varying flow of air entering fuel nozzle 26 via air inlet duct 35. It is contemplated that air jets 46 may be located at any axial position along the length of barrel housing 34 and may vary from engine to engine or from one class or size of engine to another class or size of engine according to attenuation requirements. Air jets 46 may receive compressed air from compressor section 12 by way of one or more fluid passageways (not shown) external to barrel housing 34.

Air inlet duct 35 may embody a tubular member configured to axially direct compressed air from compressor section 12 (referring to FIG. 1) to barrel housing 34, and to divert a portion of the compressed air to air jets 46. Specifically, air inlet duct 35 may include a central opening 48 and a flow restrictor 50 located within central opening 48 at an end opposite barrel housing 34. In one example, flow restrictor 50 may embody a blocker ring extending inward from the interior surface of air inlet duct 35. The radial distance that flow restrictor 50 protrudes into central opening 48 may determine the amount of compressed air diverted around air inlet duct 35 to air jets 46 during operation of turbine engine 10. The amount of air diverted to air jets 46 may be less than the amount of air passing through air inlet duct 35. The geometry of air inlet duct 35 may such that pressure fluctuations within fuel nozzle 26 may be minimized to provide for piece-wise uniform flow through air inlet duct 35. In one example, air inlet duct 35 may be generally straight and may have a predetermined length. The predetermined length of air inlet duct 35 may be set during manufacture of turbine engine 10 according to an axial fuel introduction location and a naturally-occurring pressure fluctuation with combustion chamber 28. The method of determining and setting the length of air inlet duct 35 will be discussed in more detail below.

Mixing duct 37 may embody a tubular member configured to axially direct the fuel/air mixture from fuel nozzle 26 into combustion chamber 28. In particular, mixing duct 37 may include a central opening 52 that fluidly communicates barrel housing 34 with combustion chamber 28. The geometry of mixing duct 37 may be such that pressure fluctuations within fuel nozzle 26 are minimized to provide for piece-wise uniform flow through air inlet duct 35. In one example, mixing duct 37 may be generally straight and may have a predetermined length. Similar to air inlet duct 35, the predetermined length of mixing duct 37 may be set during manufacture of turbine engine 10 according to an axial fuel introduction location and the naturally-occurring pressure fluctuation within combustion chamber 28. The method of determining and setting the length of mixing duct 37 will be discussed in more detail below.

Swirler 40 may be situated to radially redirect an axial flow of compressed air from air inlet duct 35. In particular, swirler 40 may embody an annulus having a plurality of connected vanes 54 located within an axial flow path of the compressed air. As the compressed air contacts vanes 54, it may be diverted in a radially inward direction. It is contemplated that vanes 54 may extend from barrel housing 34 radially inward directly toward common axis 42 or, alternatively, to a point cantered off-center from common axis 42. It is also contemplated that vanes 54 may be straight or twisted along a length direction and tilted at an angle relative to an axial direction of common axis 42.

Vanes 54 may facilitate fuel injection within barrel housing 34. In particular, some or all of vanes 54 may each include a liquid fuel jet 56 and a plurality of gaseous fuel jets 58. It is contemplated that any number or configuration of vanes 54 may include liquid fuel jets 56. The location of vanes 54 along common axis 42 and the resulting axial fuel introduction point within fuel nozzle 26 may vary and be set to, in combination with specific time-varying air flow characteristics, attenuate the naturally-occurring pressure fluctuation within combustion chamber 28. The method of determining and setting the axial fuel introduction point will be discussed in more detail below.

Gaseous fuel jets 58 may provide a substantially constant mass flow of gaseous fuel such as, for example, natural gas, landfill gas, bio-gas, or any other suitable gaseous fuel to combustion chamber 28. In particular, gaseous fuel jets 58 may embody restrictive orifices situated along a leading edge of each vane 54. Each of gaseous fuel jets 58 may be in communication with a central fuel passageway 59 within the associated vane 54 to receive gaseous fuel from an external source (not shown). The restriction at gaseous fuel jets 58 may be the greatest restriction applied to the flow of gaseous fuel within fuel nozzle 26, such that a substantially continuous mass flow of gaseous fuel from gaseous fuel jets 58 may be ensured.

Combustion chamber 28 (referring to FIG. 1) may house the combustion process. In particular, combustion chamber 28 may be in fluid communication with each fuel nozzle 26 and may be configured to receive a substantially homogenous mixture of fuel and compressed air. The fuel/air mixture may be ignited and may fully combust within combustion chamber 28. As the fuel/air mixture combusts, hot expanding gases may exit combustion chamber 28 and enter turbine section 16.

Turbine section 16 may include components rotatable in response to the flow of expanding exhaust oases from combustor section 14. In particular, turbine section 16 may include a series of rotatable turbine rotor blades 30 fixedly connected to central shaft 24. As turbine rotor blades 30 are bombarded with high-energy molecules from combustor section 14, the expanding molecules may cause central shaft 24 to rotate, thereby converting combustion energy into useful rotational power. This rotational power may then be drawn from turbine engine 10 and used for a variety of purposes. In addition to powering various external devices, the rotation of turbine rotor blades 30 and central shaft 24 may drive the rotation of compressor blades 22.

Exhaust section 18 may direct the spent exhaust from combustor and turbine sections 14, 16 to the atmosphere. It is contemplated that exhaust section 18 may include one or more treatment devices configured to remove pollutants from the exhaust and/or attenuation devices configured to reduce the noise associated with turbine engine 10, if desired.

FIG. 3 illustrates an exemplary relationship between the length of air inlet duct 35, the length of mixing duct 37, the axial fuel introduction point within barrel housing 34 resulting from the position of swirler 40 along common axis 42, and the naturally-occurring pressure fluctuation stemming from a flame front 67 within combustion chamber 28. FIG. 3 will be discussed in more detail below.

INDUSTRIAL APPLICABILITY

The disclosed fuel nozzle may be applicable to any turbine engine where reduced vibrations within the turbine engine are desired. Although particularly useful for low NOx-emitting engines, the disclosed fuel nozzle may be applicable to any turbine engine regardless of the emission output of the engine. The disclosed fuel nozzle may reduce vibrations by acoustically attenuating a naturally-occuring pressure fluctuation within a combustion chamber of the turbine engine. The operation of fuel nozzle 26 will now be explained.

During operation of turbine engine 10, air may be drawn into turbine engine 10 and compressed via compressor section 12 (referring to FIG. 1). This compressed air may then be axially directed into combustor section 14 and against vanes 54 of swirler 40, where the flow may be redirected radially inward. As the flow of compressed air is turned to flow radially inward, liquid fuel may be injected from liquid fuel jets 56 for mixing prior to combustion. Alternatively or additionally, gaseous fuel may be injected from gaseous fuel jets 58 for mixing with the compressed air prior to combustion. As the mixture of fuel and air enters combustion chamber 28, it may ignite and fully combust. The hot expanding exhaust gases may then be expelled into turbine section 16, where the molecular energy of the combustion gases may be converted to rotational energy of turbine rotor blades 30 and central shaft 24.

FIG. 3 illustrates the time-varying flow characteristics of fuel and air entering fuel nozzle 26 and their effects on the naturally-occuring pressure fluctuations within combustion chamber 28. In particular, FIG. 3 illustrates a first curve 60, a second curve 62, a third curve 64, and a plurality of pressure pulses 66. First curve 60 may represent the time-varying flow of compressed air entering fuel nozzle 26 via air inlet duct 35. Second curve 62 may represent the time-varying flow of fuel flow entering fuel nozzle 26 via liquid and/or gaseous fuel jets 56, 58. Third curve 64 may represent the time-varying fuel to air equivalence ratio Φ (e.g., the instantaneous ratio of the amount of fuel within any axial plane along the length of fuel nozzle 26 to the amount of air in the same axial plane). Pressure pulses 66 may represent a wave of pressure traveling from combustion chamber 28 in a reverse direction toward air inlet duct 35 as a result of combustion within combustion chamber 28.

Pressure pulses 66 may affect the time-varying characteristic of first, second, and third curves 60-64. Specifically, as pressure pulses 66 travel in the reverse direction within fuel nozzle 26 and reach liquid and gaseous fuel injectors 56, 58 and the entrance to air inlet duct 35, the pressure of each pulse may cause the flow rate of fuel and air entering fuel nozzle 26 to vary. These varying flow rates correspond to the amplitude variations of first and second curves 60, 62 illustrated in FIG. 3, which equate to the varying amplitude and phase angle of third curve 64. When the value of Φ at the point of combustion within combustion chamber 28 is high compared to a time average value of Φ, the heat release and resulting pressure wave within combustion chamber 28 may be high. Likewise, when the value of Φ at the point of combustion within combustion chamber 28 is low compared to the time average value of Φ, the heat release and resulting pressure wave within combustion chamber 28 may be low.

Damage may occur when the phase angle of third curve 64 and the wave of pressure pulses 66 near alignment. That is, when the value of Φ entering combustion chamber 28 is high compared to the time average of Φ and enters combustion chamber 28 at about the same time that a pressure pulse 66 initiates from a flame front with combustion chamber 28, resonance may be attained. Likewise, if the value of Φ entering combustion chamber 28 is low compared to the time average of Φ and enters combustion chamber 28 at a time between the intiation of pressure pulses 66, resonance may be attained. It may be possible that this resonance could amplify pressure pulses 66 to a damaging magnitude.

Damage may be prevented when third curve 64 and the wave of pressure pulses 66 are out of phase. In particular, if the value of Φ entering combustion chamber 28 is low compared to the time average of Φ and enters combustion chamber 28 at the same time that a pressure pulse 66 initiates from a flame front within combustion chamber 28, attenuation of pressure pulse 66 may be attained. Likewise, if the value of Φ entering combustion chamber 28 is high compared to the time average of Φ and enters combustion chamber 28 at a time between the imitation of pressure pulses 66, attenuation may be attained. Attenuation could lower the magnitude of pressure pulses 66, thereby minimizing the likelihood of damage to turbine engine 10.

The phase angle and magnitude of Φ may be affected by the length of air inlet duct 35, the length of mixing duct 37, the axial fuel introduction point, and the axial location of air jets 46. Specifically, by increasing the length of air inlet duct 35 (e.g., extending the entrance of air inlet duct 35 leftward, when viewed in FIG. 2), the phase angle of first curve 60 may likewise shift to the left. In contrast, by decreasing the length of air inlet duct 35 (e.g., moving the entrance of air inlet duct 35 to the right, when viewed in FIG. 2), the phase angle of first curve 60 may likewise move to the right. In fact, if the length of air inlet duct 35 becomes so short that the introduction of air is substantially coterminous with the introduction of fuel via gaseous fuel jets 58 and the pressure drops across flow restrictor 50 and gaseous fuel jets 58 are substantially constant, the phase angle and amplitude differences between first and second curves 60, 62 may be nearly zero, resulting in a substantially constant value of Φ. In addition, by extending the length of mixing duct 37 (e.g., extending the exit of mixing duct 37 rightward, when viewed FIG. 2), the phase angle of first curve 60 may move to the left. By decreasing the length of mixing duct 37 (e.g., moving the exit of mixing duct 37 leftward, when viewed in FIG. 2), the phase angle of first curve 60 may move to the right. By moving the location of swirler 40 left or right and, in doing so, the axial introduction point of gaseous and liquid fuel left or right, the phase angle of second curve 62 may mimic the same shifts. As the phase angle of one or both of first and second curves 60, 62 shifts, the phase angle and amplitude of third curve 64 may be affected. In this manner, the value of Φ entering combustion chamber 28 can be acoustically tuned to attenuate the naturally-occuring pressure pulses 66 of a specific engine or specific class or size of engine. It is contemplated that only one or both of the lengths of air inlet duct 35 and mixing duct 37 may be modified to attenuate the naturally-occurring pressure pulses 66.

Further reduction in the magnitude of pressure pulses 66 may be attained by providing a substantially time-constant value of Φ. One way to reduce the variation in the value of Φ may be to reduce the time-varying characteristic of first and/or second curves 60, 62. The time-varying characteristic of gaseous fuel introduced into combustion chamber 28 via gaseous fuel jets 58 may be reduced by way of the restriction at the surface of gaseous fuel jets 58. This restriction may increase the pressure drop across gaseous fuel jets 58 to a magnitude at which the pressure fluctuations within fuel nozzle 26 may have little affect on the flow of fuel through gaseous fuel jets 58. Another way to reduce the vibrations may be realized through the use of air jets 46. In particular, as seen in FIG. 3, when pulses of compressed air are introduced at a specific location within fuel nozzle 26 and at a timing out of phase with first curve 60, the time-varying characteristic of air entering combustion chamber 28 may be attenuated. In one example, the pulses of compressed air may be injected by air jets 46 substantially 180 degrees out of phase with first curve 60. The affect of the injected pulses of air can be seen in FIG. 3; as the flow of compressed air entering barrel housing 34 via air inlet duct 35 passes in proximity to air jets 46, the amplitude of first curve 60 may be reduced.

Several advantages over the prior art may be associated with fuel nozzle 26 of turbine engine 10. Specifically, because the length of air inlet duct 35, the length of mixing duct 37, and the axial fuel introduction point of turbine engine 10 may be selected specifically to attenuate the naturally-occurring pressure pulses of combustion chamber 28, harmful vibrations of turbine engine 10 may be greatly reduced. This acoustic tuning of turbine engine 10 may be more successful at reducing vibration than the random placement of apertures in an attempt to create non-resonating turbulence. In addition, these reductions in vibration may be attained with minimal changes to existing hardware, resulting in lower component costs of turbine engine 10.

It will be apparent to those skilled in the art that various modifications and variations can be made to the disclosed fuel nozzle. Other embodiments will be apparent to those skilled in the art from consideration of the specification and practice of the disclosed fuel nozzle. It is intended that the specification and examples be considered as exemplary only, with a true scope being indicated by the following claims and their equivalents. 

1. A fuel nozzle for a turbine engine having a combustion chamber, comprising: a common axis; a body member disposed about the common axis; a barrel member located radially outward from the body member; a mixing duct fluidly communicating the barrel member and the combustion chamber, and having a predetermined length; an air inlet duct disposed upstream of the barrel member, having a predetermined length, and being configured to introduce a flow of air into the barrel member; and a main fuel injection device located between the air inlet duct and the mixing duct, the main fuel injection device configured to introduce a flow of fuel into the barrel member at a predetermine axial fuel introduction location, wherein the predetermined axial fuel introduction location and the predetermined length of at least one of the mixing duct and the air inlet duct are such that a time-varying fuel to air equivalence ratio at a flame front downstream of an exit of the mixing duct is less than a time-averaged fuel to air equivalence ratio when a naturally-occurring time-varying pressure at the flame front is at a maximum.
 2. The fuel nozzle of claim 1, wherein the predetermined axial fuel introduction location and the predetermined length of the at least one of the mixing duct and the air inlet duct are also such that the time-varying fuel to air equivalence ratio at the flame front is greater than the time-averaged fuel to air equivalence ratio when the time-varying pressure at the flame front is at a minimum.
 3. The fuel nozzle of claim 2, wherein the predetermined lengths of both the mixing duct and air inlet duct are set such that the time-varying fuel to air equivalence ratio is greater than the time-averaged fuel to air equivalence ratio when the time-varying pressure at the flame front is at the minimum and less than the time-averaged fuel to air equivalence ratio when the time-varying pressure at the flame front is at the maximum.
 4. The fuel nozzle of claim 1, wherein the flow of air introduced to the barrel member is a time-varying flow and the fuel nozzle further includes at least one air injection port configured to inject compressed air into the barrel member at a predetermined axial location approximately 180 degrees out of phase with the time-varying flow of air such that attenuation of a pressure wave traveling from the air inlet duct toward the mixing duct occurs.
 5. The fuel nozzle of claim 4, wherein the at least one air injection port is a first air injection port and the fuel nozzle further includes at least a second air injection port axially aligned with the first air injection port.
 6. The fuel nozzle of claim 4, wherein the air inlet duct introduces a greater amount of air into the fuel nozzle than the at least one air injection port.
 7. The fuel nozzle of claim 4, further including a flow restrictor located proximal the air inlet duct, the flow restrictor configured to divert a predetermined portion of the compressed air from the air inlet duct toward the at least one air injection port.
 8. The fuel nozzle of claim 1, wherein the air inlet duct is substantially straight.
 9. The fuel nozzle of claim 1, wherein the mixing duct is substantially straight.
 10. The fuel nozzle of claim 1, wherein the length of the inlet air duct is such that an axial location of the introduction of the flow of air is substantially coterminous with the predetermined axial fuel introduction location.
 11. A method of operating a turbine engine, the method comprising: directing compressed air into the turbine engine via an inlet duct having a predetermined length; introducing fuel into the turbine engine at a predetermined axial position downstream of the inlet duct; mixing the fuel and air within a mixing duct having a predetermined length; and directing the fuel and air mixture to a combustion chamber, wherein the predetermined axial fuel introduction location and the predetermined length of at least one of the mixing duct and the inlet duct are such that a time-varying fuel to air equivalence ratio at a flame front downstream of an exit of the mixing duct is less than a time-averaged fuel to air equivalence ratio when a naturally-occurring time-varying pressure at the flame front is at a maximum.
 12. The method of claim 11, wherein the predetermined axial fuel introduction location and the predetermined length of at the least one of the mixing duct and the inlet duct are also such that the time-varying fuel to air equivalence ratio at the flame front is greater than the time-averaged fuel to air equivalence ratio when the time-varying pressure at the flame front is at a minimum.
 13. The method of claim 11, wherein the predetermined lengths of both the mixing duct and inlet duct are set such that the time-varying fuel to air equivalence ratio is greater than the time-averaged fuel to air equivalence ratio when the time-varying pressure at the flame front is at the minimum and less than the time-averaged fuel to air equivalence ratio when the time-varying pressure at the flame front is at the maximum.
 14. The method of claim 11, wherein the air directed in to the turbine engine has a time-varying flow characteristic and the method further includes injecting compressed air into the turbine engine at a predetermined axial location approximately 180 degrees out of phase with the time-varying flow of air such that attenuation occurs.
 15. The method of claim 14, wherein the flow rate of compressed air through the inlet duct is greater than the flow rate of air injected at the predetermined axial location within the turbine engine.
 16. The method of claim 11, further including diverting compressed air from upstream of the inlet duct around the inlet duct to an injection location downstream of the inlet duct.
 17. A turbine engine, comprising: a compressor section configured to pressurize inlet air; a combustion chamber configured to receive the pressurized air; and a fuel nozzle configured to direct fuel into the combustion chamber, the fuel nozzle having: a common axis; a body member disposed about the common axis; a barrel member located radially outward from the body member; a mixing duct fluidly communicating the barrel member and the combustion chamber, and having a predetermined length; an air inlet duct disposed upstream of the barrel member, having a predetermined length, and being configured to introduce a flow of air into the barrel member; and a main fuel injection device located between the air inlet duct and the mixing duct, the main fuel injection device configured to introduce a flow of fuel into the barrel member at a predetermine axial fuel introduction location, wherein the predetermined axial fuel introduction location and the predetermined lengths of the mixing duct and the air inlet duct are such that a time-varying fuel to air equivalence ratio is greater than a time-averaged fuel to air equivalence ratio when a time-varying pressure at a flame front downstream of an exit of the mixing duct is at a minimum and less than the time-averaged fuel to air equivalence ratio when the time-varying pressure at the flame front is at a maximum.
 18. The turbine engine of claim 17, wherein the flow of air introduced to the barrel member is a time-varying flow and the fuel nozzle further includes a plurality of axially aligned air injection ports configured to inject compressed air into the barrel member at a predetermined axial location approximately 180 degrees out of phase with the time-varying flow of air such that attenuation of a pressure wave traveling from the air inlet duct toward the mixing duct occurs.
 19. The turbine engine of claim 17, wherein the air inlet duct introduces a greater amount of air into the fuel nozzle than the at least one air injection port.
 20. The turbine engine of claim 17, further including a flow restrictor located proximal the air inlet duct, the flow restrictor configured to divert a predetermined portion of the compressed air from the air inlet duct toward the at least one air injection port.
 21. The turbine engine of claim 17, wherein the air inlet and mixing ducts are both substantially straight. 